NORM.S.DIST
The NORM.S.DIST function calculates the standard normal cumulative distribution function for a specified value. It is used to determine the probability of a value being less than or equal to a given standard normal random variable. This function is helpful in statistical analysis and probability calculations.
Syntax 🔗
=NORM.S.DIST(Z, Cumulative)
Z | The value for which you want to calculate the standard normal cumulative distribution. |
Cumulative | A logical value that specifies the form of the function. TRUE returns the cumulative distribution function; FALSE returns the probability density function. |
About NORM.S.DIST 🔗
Use the NORM.S.DIST function in Excel to calculate the probability of a value falling below a specified standard normal random variable Z. This function helps when working with a standard normal distribution, which has a mean of 0 and a standard deviation of 1. By setting the Cumulative argument, you can choose to obtain either the cumulative distribution function or the probability density function. This can be useful for statistical analyses and risk assessments.
Examples 🔗
To find the probability that a standard normal random variable Z is less than or equal to 1.5, you can use the following formula: =NORM.S.DIST(1.5, TRUE)
To calculate the probability density of a standard normal random variable Z at 0.75, use this formula: =NORM.S.DIST(0.75, FALSE)
Notes 🔗
Ensure the Z value aligns with a standard normal distribution, with a mean of 0 and a standard deviation of 1. Set the Cumulative argument to TRUE for the cumulative distribution function or FALSE for the probability density function. Use Excel's precision functions to format the output to your desired accuracy level.
Questions 🔗
The Cumulative argument in the NORM.S.DIST function determines the form of the function's output. When set to TRUE, it returns the cumulative distribution function (the probability that a random variable is less than or equal to a specific value). When set to FALSE, it returns the probability density function (the likelihood of the random variable taking on a particular value).
Can the NORM.S.DIST function handle values outside the standard normal distribution parameters?The NORM.S.DIST function is specifically designed for standard normal distributions with a mean of 0 and a standard deviation of 1. It may not provide accurate results for values significantly deviating from this standard. Ensure the Z value reflects the constraints of the standard normal distribution for precise calculations.
How can I interpret the output of the NORM.S.DIST function?The output of the NORM.S.DIST function represents the probability associated with a standard normal random variable Z. If you're using the cumulative distribution function, the result denotes the probability that a random variable is less than or equal to the specified Z value. For the probability density function, the output indicates the likelihood of the random variable attaining the particular Z value.